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Finding the Third Proportional to 233,847 and 503,755

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Solution

The third proportional to 233,847 and 503,755 is: 1,085,192.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    233,847 : 503,755 = 503,755 : x
  2. Step 2: Convert to fraction form
    233,847/503,755 = 503,755/x
  3. Step 3: Cross multiply
    233,847x = 503,755 × 503,755
  4. Step 4: Simplify right side
    233,847x = 253,769,100,025
  5. Step 5: Solve for x
    x = 253,769,100,025/233,847
  6. Step 6: Final answer
    x = 1,085,192.88

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.